Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze19.0ms (0.5%)

Memory

-28.3MiB live, 16.8MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample896.0ms (24.4%)

Memory

12.0MiB live, 1 441.3MiB allocated; 306ms collecting garbage

Samples

562.0ms	8 255×	0	valid
14.0ms	279×	0	invalid
6.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-sub: 119.0ms (34.3% of total)

ival-sqrt: 82.0ms (23.7% of total)

ival-mult: 69.0ms (19.9% of total)

ival-add: 60.0ms (17.3% of total)

ival-true: 7.0ms (2% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain95.0ms (2.6%)

Memory

36.7MiB live, 133.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
-	-	`(sqrt.f64 x)`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 y (sqrt.f64 x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (28.8% of total)

ival-sqrt: 4.0ms (28.8% of total)

ival-sub: 3.0ms (21.6% of total)

ival-add: 2.0ms (14.4% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess250.0ms (6.8%)

Memory

-1.5MiB live, 241.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	49	46
2	96	46
3	172	43
4	356	42
5	1037	42
6	2806	42
7	6607	42
0	7	8
0	11	8
1	20	8
2	35	8
3	64	8
4	133	8
5	459	8
6	3607	8
7	7197	8
0	8053	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify147.0ms (4%)

Memory

-2.6MiB live, 176.6MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	1	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	20	20
2	35	20
3	64	20
4	133	20
5	459	20
6	3607	20
7	7197	20
0	8053	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize40.0ms (1.1%)

Memory

-11.3MiB live, 34.5MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25	(*.f64 y (sqrt.f64 x))

Samples

34.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (29.7% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sqrt: 2.0ms (29.7% of total)

ival-add: 1.0ms (14.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))

simplify100.0ms (2.7%)

Memory

4.8MiB live, 110.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	136
1	140	128
2	467	127
0	1726	120

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

19 → 19

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)

rewrite51.0ms (1.4%)

Memory

-8.9MiB live, 81.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	48	17
0	366	16

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 33

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval5.0ms (0.1%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 797 to 159 computations (80.1% saved)

prune5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	7	48

Accuracy

100.0%

Counts

48 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	53.5%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
▶	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	62.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	93.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
▶	58.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))

Compiler

Compiled 240 to 154 computations (35.8% saved)

simplify135.0ms (3.7%)

Memory

-6.0MiB live, 93.2MiB allocated; 16ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
cost-diff	3	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	162
0	36	158
1	55	158
2	96	158
3	192	158
4	433	154
5	1659	154
6	6511	154
0	8412	152

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

localize57.0ms (1.5%)

Memory

6.7MiB live, 92.8MiB allocated; 16ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
accuracy	0.0859375	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
accuracy	0.11328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.9204471440625968	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
accuracy	0.11328125	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.11328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.9048221440625968	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	22.919891417418654	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	17.565654379227713	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	23.883446869719453	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.078125	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

39.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 8.0ms (32.2% of total)

ival-sqrt: 7.0ms (28.2% of total)

ival-add: 5.0ms (20.1% of total)

ival-sub: 3.0ms (12.1% of total)

ival-div: 2.0ms (8.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series36.0ms (1%)

Memory

-19.3MiB live, 44.2MiB allocated; 17ms collecting garbage

Counts

13 → 47

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ (+ 1 (* (sqrt x) y)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(- (/ 1 x) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)))
3.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)))
2.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)))
2.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)))

simplify113.0ms (3.1%)

Memory

15.0MiB live, 152.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	395
1	311	357
2	1047	350
0	4374	322

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ (+ 1 (* (sqrt x) y)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(- (/ 1 x) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (sqrt x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(-.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(*.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(- (/ 1 x) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* y (+ (sqrt x) (* -1 (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

rewrite63.0ms (1.7%)

Memory

3.9MiB live, 101.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	127
0	36	123
1	145	116
0	1087	116

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 139

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Outputs
(/.f64 (-.f64 (.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (.f64 x x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 x (.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 x (.f64 y (sqrt.f64 x))) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x (.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x))
(fma.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 x #s(literal -1 binary64)) (.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) y))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) x) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))))
(fma.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x))
(fma.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(+.f64 (.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (.f64 x (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) y))
(-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))

eval25.0ms (0.7%)

Memory: -32.8MiB live, 56.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 660 to 645 computations (86.2% saved)

prune8.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	192	8	200
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	197	10	207

Accuracy

100.0%

Counts

207 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	66.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
	54.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
▶	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
	27.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	35.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 362 to 249 computations (31.2% saved)

simplify148.0ms (4%)

Memory

-27.7MiB live, 164.0MiB allocated; 19ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) y)
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	282
0	51	282
1	77	277
2	120	277
3	221	277
4	462	277
5	1317	277
6	5775	277
0	8109	271

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)

localize156.0ms (4.2%)

Memory

3.8MiB live, 144.9MiB allocated; 19ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy	3.409118448849011	(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
accuracy	3.9204471440625968	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
accuracy	17.42430641619429	#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
accuracy	0.25390625	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy	3.9048221440625968	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy	22.919891417418654	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
accuracy	29.669890144205727	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25	(*.f64 (sqrt.f64 x) y)
accuracy	17.565654379227713	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
accuracy	33.001036767253	#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy	23.883446869719453	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	30.98225868315137	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.11328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.229947605881556	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	17.565654379227713	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Samples

89.0ms

256×

valid

Compiler

Compiled 168 to 24 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (40.3% of total)

ival-add: 6.0ms (22% of total)

ival-div: 4.0ms (14.7% of total)

ival-sqrt: 4.0ms (14.7% of total)

ival-sub: 3.0ms (11% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

20 → 57

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ 1 (* (sqrt x) y)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(+ (* (sqrt (/ 1 x)) y) (/ 1 x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(- (/ 1 x) 1)
(/ 1 x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))
(* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/ (+ (* (sqrt x) y) 1) x) (sqrt (/ 1 x)) (+ (* (sqrt x) y) 1))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/ (+ (* (sqrt x) y) 1) x) (sqrt (/ 1 x)) (+ (* (sqrt x) y) 1))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/ (+ (* (sqrt x) y) 1) x) (sqrt (/ 1 x)) (+ (* (sqrt x) y) 1))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/ (+ (* (sqrt x) y) 1) x) (sqrt (/ 1 x)) (+ (* (sqrt x) y) 1))
2.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) x) (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/ (+ (* (sqrt x) y) 1) x) (sqrt (/ 1 x)) (+ (* (sqrt x) y) 1))

simplify98.0ms (2.7%)

Memory

-3.5MiB live, 96.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	490
1	338	440
2	1126	431
0	3985	400

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ 1 (* (sqrt x) y)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(+ (* (sqrt (/ 1 x)) y) (/ 1 x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(- (/ 1 x) 1)
(/ 1 x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))
(* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))
(/ (+ 1 (* (sqrt x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)
(-.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+ (* (sqrt (/ 1 x)) y) (/ 1 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(*.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(- (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(- (/ 1 x) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* y (+ (sqrt x) (* -1 (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))

rewrite62.0ms (1.7%)

Memory

8.1MiB live, 51.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	258
0	51	258
1	171	239
0	1190	230

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 108

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 y x) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 y x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y x)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 y x)
(*.f64 x y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(.f64 y (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) (/.f64 (.f64 (sqrt.f64 x) y) x)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 x) y) x) (/.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 x) y) x x) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y)) x))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 x) y) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(fma.f64 (sqrt.f64 x) (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(fma.f64 y (/.f64 (sqrt.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) y) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))

eval37.0ms (1%)

Memory: -9.9MiB live, 34.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 4 893 to 684 computations (86% saved)

prune8.0ms (0.2%)

Memory

16.2MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	2	3
Picked	1	4	5
Done	0	2	2
Total	163	10	173

Accuracy

100.0%

Counts

173 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
✓	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	27.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	35.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 185 to 131 computations (29.2% saved)

simplify213.0ms (5.8%)

Memory

-46.0MiB live, 294.4MiB allocated; 38ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
cost-diff	2	(*.f64 y #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(/.f64 x (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	171
0	39	161
1	64	161
2	126	161
3	342	161
4	1584	161
5	6605	161
0	9587	153

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
y
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 y (sqrt.f64 x))
(*.f64 y #s(literal 1 binary64))
y
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)

localize93.0ms (2.5%)

Memory

44.5MiB live, 235.8MiB allocated; 15ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 x)
accuracy	0.078125	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.19505124895968	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.23046875	(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	3.9048221440625968	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
accuracy	22.919891417418654	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
accuracy	29.669890144205727	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
accuracy	0.0	(neg.f64 x)
accuracy	23.883446869719453	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.19505124895968	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
accuracy	0.12109375	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
accuracy	0.52734375	(/.f64 x (sqrt.f64 x))
accuracy	17.565654379227713	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))

Samples

71.0ms

256×

valid

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 22.0ms (43.6% of total)

ival-add: 10.0ms (19.8% of total)

ival-div: 7.0ms (13.9% of total)

ival-sqrt: 7.0ms (13.9% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series48.0ms (1.3%)

Memory

-21.6MiB live, 25.2MiB allocated; 2ms collecting garbage

Counts

14 → 36

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(*.f64 y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))

Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (/ (* y 1) (sqrt x)))
6.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (/ (* y 1) (sqrt x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (/ (* y 1) (sqrt x)))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (/ (* y 1) (sqrt x)))
2.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (/ x (sqrt x)) y) 1) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (/ (* y 1) (sqrt x)))

simplify156.0ms (4.2%)

Memory

-33.2MiB live, 131.5MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	282
1	232	252
2	744	247
0	3029	229

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
y
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))

Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))
(.f64 (-.f64 (.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
y
-1
#s(literal -1 binary64)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* y (+ (sqrt x) (* -1 (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))

rewrite74.0ms (2%)

Memory

4.0MiB live, 94.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	150
0	39	134
1	149	134
0	999	129

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 70

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(*.f64 y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y)))
(fma.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 x (sqrt.f64 x))) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 x))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x (sqrt.f64 x)) y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 x)) y))))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 x)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
(.f64 x #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))

eval12.0ms (0.3%)

Memory: 36.6MiB live, 36.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 676 to 365 computations (86.4% saved)

prune18.0ms (0.5%)

Memory

-43.8MiB live, 17.9MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	112	10	122

Accuracy

100.0%

Counts

122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	62.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
✓	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	27.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	35.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	72.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
✓	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Compiler

Compiled 552 to 216 computations (60.9% saved)

regimes17.0ms (0.5%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) (- (/ 1 x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

5.0ms	x
5.0ms	y
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes20.0ms (0.6%)

Memory

-34.2MiB live, 11.3MiB allocated; 3ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

16.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
98.7%	2	`x`
97.3%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
96.3%	3	`y`
82.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
79.8%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
62.7%	1	`x`
62.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
62.7%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
62.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
43.0%	4	`y`
61.6%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x

Results

Accuracy	Segments	Branch
35.8%	1	`y`
35.8%	1	`x`
35.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch15.0ms (0.4%)

Memory

-29.0MiB live, 16.9MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.005941156422613025	3200.587173095462

Samples

7.0ms

144×

valid

Compiler

Compiled 227 to 201 computations (11.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (26.4% of total)

ival-add: 1.0ms (26.4% of total)

ival-mult: 1.0ms (26.4% of total)

ival-sqrt: 1.0ms (26.4% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.5%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.0292114068821324e+48	2.5052161607677177e+49
6.0ms	-1.5464201155277801e+75	-1.0869449484974039e+75

Samples

8.0ms

176×

valid

Compiler

Compiled 297 to 265 computations (10.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (22.2% of total)

ival-add: 1.0ms (22.2% of total)

ival-mult: 1.0ms (22.2% of total)

ival-sqrt: 1.0ms (22.2% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.6%)

Memory

-12.9MiB live, 32.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.4315108871169453e+92	1.3520881950720567e+95
4.0ms	-1.5464201155277801e+75	-1.0869449484974039e+75

Samples

10.0ms

176×

valid

Compiler

Compiled 395 to 312 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 2.0ms (37.1% of total)

ival-sub: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-mult: 1.0ms (18.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-604.8253871129489	0.9940588435773869

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify81.0ms (2.2%)

Memory

-1.7MiB live, 50.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	177
1	65	177
2	82	177
3	121	177
4	186	177
5	453	177
6	3503	177
7	6050	177

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -1100000000000000059800838166790967925781366616571142396681673017752771624960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 19500000000000000449345747305952439936418903490560 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1519999999999999936548608716021130629992243657338069264305312371549935763456 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 1860000000000000115419399143986544723391241087016979475913694647857346483812082068724801077248 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -500 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -1100000000000000059800838166790967925781366616571142396681673017752771624960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 19500000000000000449345747305952439936418903490560 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -1100000000000000059800838166790967925781366616571142396681673017752771624960 binary64)) (not (<=.f64 y #s(literal 19500000000000000449345747305952439936418903490560 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -1519999999999999936548608716021130629992243657338069264305312371549935763456 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 1860000000000000115419399143986544723391241087016979475913694647857346483812082068724801077248 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -1519999999999999936548608716021130629992243657338069264305312371549935763456 binary64)) (not (<=.f64 y #s(literal 1860000000000000115419399143986544723391241087016979475913694647857346483812082068724801077248 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (.f64 (sqrt.f64 x) y))) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -500 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

derivations256.0ms (7%)

Memory

-0.7MiB live, 227.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	395
1	311	357
2	1047	350
0	4374	322
0	7	17
0	11	17
1	48	17
0	366	16
0	52	136
1	140	128
2	467	127
0	1726	120

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 177 to 46 computations (74% saved)

preprocess34.0ms (0.9%)

Memory: 48.7MiB live, 89.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 370 to 106 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze19.0ms (0.5%)

sample896.0ms (24.4%)

explain95.0ms (2.6%)

preprocess250.0ms (6.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify147.0ms (4%)

localize40.0ms (1.1%)

series5.0ms (0.1%)

simplify100.0ms (2.7%)

rewrite51.0ms (1.4%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

simplify135.0ms (3.7%)

localize57.0ms (1.5%)

series36.0ms (1%)

simplify113.0ms (3.1%)

rewrite63.0ms (1.7%)

eval25.0ms (0.7%)

prune8.0ms (0.2%)

simplify148.0ms (4%)

localize156.0ms (4.2%)

series13.0ms (0.4%)

simplify98.0ms (2.7%)

rewrite62.0ms (1.7%)

eval37.0ms (1%)

prune8.0ms (0.2%)

simplify213.0ms (5.8%)

localize93.0ms (2.5%)

series48.0ms (1.3%)

simplify156.0ms (4.2%)

rewrite74.0ms (2%)

eval12.0ms (0.3%)

prune18.0ms (0.5%)

regimes17.0ms (0.5%)

regimes20.0ms (0.6%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch15.0ms (0.4%)

bsearch17.0ms (0.5%)

bsearch23.0ms (0.6%)

bsearch1.0ms (0%)

simplify81.0ms (2.2%)

derivations256.0ms (7%)

preprocess34.0ms (0.9%)

end0.0ms (0%)

Profiling